TSTP Solution File: GEO204+2 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GEO204+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Jul 27 12:54:48 EDT 2022
% Result : Theorem 7.37s 7.59s
% Output : Refutation 7.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of clauses : 27 ( 9 unt; 15 nHn; 16 RR)
% Number of literals : 63 ( 0 equ; 10 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ distinct_points(A,A),
file('GEO204+2.p',unknown),
[] ).
cnf(4,axiom,
( ~ distinct_points(A,B)
| distinct_points(A,C)
| distinct_points(B,C) ),
file('GEO204+2.p',unknown),
[] ).
cnf(7,axiom,
( ~ distinct_points(A,B)
| ~ apart_point_and_line(C,line_connecting(A,B))
| distinct_points(C,A) ),
file('GEO204+2.p',unknown),
[] ).
cnf(8,axiom,
( ~ distinct_points(A,B)
| ~ apart_point_and_line(C,line_connecting(A,B))
| distinct_points(C,B) ),
file('GEO204+2.p',unknown),
[] ).
cnf(11,axiom,
( ~ distinct_points(A,B)
| ~ distinct_lines(C,D)
| apart_point_and_line(A,C)
| apart_point_and_line(A,D)
| apart_point_and_line(B,C)
| apart_point_and_line(B,D) ),
file('GEO204+2.p',unknown),
[] ).
cnf(15,axiom,
~ distinct_points(dollar_c2,dollar_c1),
file('GEO204+2.p',unknown),
[] ).
cnf(16,axiom,
( ~ distinct_points(dollar_c3,dollar_c1)
| distinct_lines(line_connecting(dollar_c3,dollar_c2),line_connecting(dollar_c3,dollar_c1)) ),
file('GEO204+2.p',unknown),
[] ).
cnf(17,axiom,
distinct_points(dollar_c3,dollar_c2),
file('GEO204+2.p',unknown),
[] ).
cnf(18,plain,
( distinct_points(dollar_c3,A)
| distinct_points(dollar_c2,A) ),
inference(hyper,[status(thm)],[17,4]),
[iquote('hyper,17,4')] ).
cnf(19,plain,
distinct_lines(line_connecting(dollar_c3,dollar_c2),line_connecting(dollar_c3,dollar_c1)),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[18,16]),15]),
[iquote('hyper,18,16,unit_del,15')] ).
cnf(20,plain,
( distinct_points(dollar_c2,A)
| distinct_points(dollar_c3,B)
| distinct_points(A,B) ),
inference(hyper,[status(thm)],[18,4]),
[iquote('hyper,18,4')] ).
cnf(22,plain,
distinct_points(dollar_c3,dollar_c1),
inference(hyper,[status(thm)],[18,15]),
[iquote('hyper,18,15')] ).
cnf(30,plain,
( apart_point_and_line(dollar_c3,line_connecting(dollar_c3,dollar_c2))
| apart_point_and_line(dollar_c3,line_connecting(dollar_c3,dollar_c1))
| apart_point_and_line(dollar_c1,line_connecting(dollar_c3,dollar_c2))
| apart_point_and_line(dollar_c1,line_connecting(dollar_c3,dollar_c1)) ),
inference(hyper,[status(thm)],[19,11,22]),
[iquote('hyper,19,11,22')] ).
cnf(39,plain,
( distinct_points(dollar_c2,A)
| distinct_points(A,dollar_c3) ),
inference(hyper,[status(thm)],[20,1]),
[iquote('hyper,20,1')] ).
cnf(44,plain,
( distinct_points(A,dollar_c3)
| distinct_points(dollar_c2,B)
| distinct_points(A,B) ),
inference(hyper,[status(thm)],[39,4]),
[iquote('hyper,39,4')] ).
cnf(67,plain,
( distinct_points(A,dollar_c3)
| distinct_points(A,B)
| distinct_points(dollar_c2,C)
| distinct_points(B,C) ),
inference(hyper,[status(thm)],[44,4]),
[iquote('hyper,44,4')] ).
cnf(68,plain,
( distinct_points(A,dollar_c3)
| distinct_points(A,dollar_c2) ),
inference(hyper,[status(thm)],[44,1]),
[iquote('hyper,44,1')] ).
cnf(148,plain,
( apart_point_and_line(dollar_c3,line_connecting(dollar_c3,dollar_c1))
| apart_point_and_line(dollar_c1,line_connecting(dollar_c3,dollar_c2))
| apart_point_and_line(dollar_c1,line_connecting(dollar_c3,dollar_c1)) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[30,7,68]),1,1]),
[iquote('hyper,30,7,68,unit_del,1,1')] ).
cnf(282,plain,
( distinct_points(A,dollar_c3)
| distinct_points(A,B)
| distinct_points(B,dollar_c1) ),
inference(hyper,[status(thm)],[67,15]),
[iquote('hyper,67,15')] ).
cnf(287,plain,
( distinct_points(A,dollar_c3)
| distinct_points(A,B)
| distinct_points(B,dollar_c2) ),
inference(hyper,[status(thm)],[67,1]),
[iquote('hyper,67,1')] ).
cnf(299,plain,
( distinct_points(A,dollar_c3)
| distinct_points(B,dollar_c2)
| distinct_points(A,C)
| distinct_points(B,C) ),
inference(hyper,[status(thm)],[287,4]),
[iquote('hyper,287,4')] ).
cnf(1502,plain,
( apart_point_and_line(dollar_c1,line_connecting(dollar_c3,dollar_c2))
| apart_point_and_line(dollar_c1,line_connecting(dollar_c3,dollar_c1)) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[148,7,282]),1,1,1]),
[iquote('hyper,148,7,282,unit_del,1,1,1')] ).
cnf(1528,plain,
apart_point_and_line(dollar_c1,line_connecting(dollar_c3,dollar_c2)),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1502,8,282]),1,1,1]),
[iquote('hyper,1502,8,282,unit_del,1,1,1')] ).
cnf(1532,plain,
distinct_points(dollar_c1,dollar_c2),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1528,8,299]),1])])]),
[iquote('hyper,1528,8,299,unit_del,1,factor_simp,factor_simp')] ).
cnf(1541,plain,
( distinct_points(dollar_c1,A)
| distinct_points(dollar_c2,A) ),
inference(hyper,[status(thm)],[1532,4]),
[iquote('hyper,1532,4')] ).
cnf(1548,plain,
distinct_points(dollar_c2,dollar_c1),
inference(hyper,[status(thm)],[1541,1]),
[iquote('hyper,1541,1')] ).
cnf(1549,plain,
$false,
inference(binary,[status(thm)],[1548,15]),
[iquote('binary,1548.1,15.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO204+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 07:23:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.96/2.15 ----- Otter 3.3f, August 2004 -----
% 1.96/2.15 The process was started by sandbox2 on n026.cluster.edu,
% 1.96/2.15 Wed Jul 27 07:23:39 2022
% 1.96/2.15 The command was "./otter". The process ID is 11101.
% 1.96/2.15
% 1.96/2.15 set(prolog_style_variables).
% 1.96/2.15 set(auto).
% 1.96/2.15 dependent: set(auto1).
% 1.96/2.15 dependent: set(process_input).
% 1.96/2.15 dependent: clear(print_kept).
% 1.96/2.15 dependent: clear(print_new_demod).
% 1.96/2.15 dependent: clear(print_back_demod).
% 1.96/2.15 dependent: clear(print_back_sub).
% 1.96/2.15 dependent: set(control_memory).
% 1.96/2.15 dependent: assign(max_mem, 12000).
% 1.96/2.15 dependent: assign(pick_given_ratio, 4).
% 1.96/2.15 dependent: assign(stats_level, 1).
% 1.96/2.15 dependent: assign(max_seconds, 10800).
% 1.96/2.15 clear(print_given).
% 1.96/2.15
% 1.96/2.15 formula_list(usable).
% 1.96/2.15 all X (-distinct_points(X,X)).
% 1.96/2.15 all X (-distinct_lines(X,X)).
% 1.96/2.15 all X (-convergent_lines(X,X)).
% 1.96/2.15 all X Y Z (distinct_points(X,Y)->distinct_points(X,Z)|distinct_points(Y,Z)).
% 1.96/2.15 all X Y Z (distinct_lines(X,Y)->distinct_lines(X,Z)|distinct_lines(Y,Z)).
% 1.96/2.15 all X Y Z (convergent_lines(X,Y)->convergent_lines(X,Z)|convergent_lines(Y,Z)).
% 1.96/2.15 all X Y Z (distinct_points(X,Y)-> (apart_point_and_line(Z,line_connecting(X,Y))->distinct_points(Z,X)&distinct_points(Z,Y))).
% 1.96/2.15 all X Y Z (convergent_lines(X,Y)-> (apart_point_and_line(Z,X)|apart_point_and_line(Z,Y)->distinct_points(Z,intersection_point(X,Y)))).
% 1.96/2.15 all X Y U V (distinct_points(X,Y)&distinct_lines(U,V)->apart_point_and_line(X,U)|apart_point_and_line(X,V)|apart_point_and_line(Y,U)|apart_point_and_line(Y,V)).
% 1.96/2.15 all X Y Z (apart_point_and_line(X,Y)->distinct_points(X,Z)|apart_point_and_line(Z,Y)).
% 1.96/2.15 all X Y Z (apart_point_and_line(X,Y)->distinct_lines(Y,Z)|apart_point_and_line(X,Z)).
% 1.96/2.15 all X Y (convergent_lines(X,Y)->distinct_lines(X,Y)).
% 1.96/2.15 -(all X Y Z (distinct_points(X,Y)& -distinct_points(Y,Z)->distinct_points(X,Z)& -distinct_lines(line_connecting(X,Y),line_connecting(X,Z)))).
% 1.96/2.15 end_of_list.
% 1.96/2.15
% 1.96/2.15 -------> usable clausifies to:
% 1.96/2.15
% 1.96/2.15 list(usable).
% 1.96/2.15 0 [] -distinct_points(X,X).
% 1.96/2.15 0 [] -distinct_lines(X,X).
% 1.96/2.15 0 [] -convergent_lines(X,X).
% 1.96/2.15 0 [] -distinct_points(X,Y)|distinct_points(X,Z)|distinct_points(Y,Z).
% 1.96/2.15 0 [] -distinct_lines(X,Y)|distinct_lines(X,Z)|distinct_lines(Y,Z).
% 1.96/2.15 0 [] -convergent_lines(X,Y)|convergent_lines(X,Z)|convergent_lines(Y,Z).
% 1.96/2.15 0 [] -distinct_points(X,Y)| -apart_point_and_line(Z,line_connecting(X,Y))|distinct_points(Z,X).
% 1.96/2.15 0 [] -distinct_points(X,Y)| -apart_point_and_line(Z,line_connecting(X,Y))|distinct_points(Z,Y).
% 1.96/2.15 0 [] -convergent_lines(X,Y)| -apart_point_and_line(Z,X)|distinct_points(Z,intersection_point(X,Y)).
% 1.96/2.15 0 [] -convergent_lines(X,Y)| -apart_point_and_line(Z,Y)|distinct_points(Z,intersection_point(X,Y)).
% 1.96/2.15 0 [] -distinct_points(X,Y)| -distinct_lines(U,V)|apart_point_and_line(X,U)|apart_point_and_line(X,V)|apart_point_and_line(Y,U)|apart_point_and_line(Y,V).
% 1.96/2.15 0 [] -apart_point_and_line(X,Y)|distinct_points(X,Z)|apart_point_and_line(Z,Y).
% 1.96/2.15 0 [] -apart_point_and_line(X,Y)|distinct_lines(Y,Z)|apart_point_and_line(X,Z).
% 1.96/2.15 0 [] -convergent_lines(X,Y)|distinct_lines(X,Y).
% 1.96/2.15 0 [] distinct_points($c3,$c2).
% 1.96/2.15 0 [] -distinct_points($c2,$c1).
% 1.96/2.15 0 [] -distinct_points($c3,$c1)|distinct_lines(line_connecting($c3,$c2),line_connecting($c3,$c1)).
% 1.96/2.15 end_of_list.
% 1.96/2.15
% 1.96/2.15 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 1.96/2.15
% 1.96/2.15 This is a non-Horn set without equality. The strategy will
% 1.96/2.15 be ordered hyper_res, unit deletion, and factoring, with
% 1.96/2.15 satellites in sos and with nuclei in usable.
% 1.96/2.15
% 1.96/2.15 dependent: set(hyper_res).
% 1.96/2.15 dependent: set(factor).
% 1.96/2.15 dependent: set(unit_deletion).
% 1.96/2.15
% 1.96/2.15 ------------> process usable:
% 1.96/2.15 ** KEPT (pick-wt=3): 1 [] -distinct_points(A,A).
% 1.96/2.15 ** KEPT (pick-wt=3): 2 [] -distinct_lines(A,A).
% 1.96/2.15 ** KEPT (pick-wt=3): 3 [] -convergent_lines(A,A).
% 1.96/2.15 ** KEPT (pick-wt=9): 4 [] -distinct_points(A,B)|distinct_points(A,C)|distinct_points(B,C).
% 1.96/2.15 ** KEPT (pick-wt=9): 5 [] -distinct_lines(A,B)|distinct_lines(A,C)|distinct_lines(B,C).
% 1.96/2.15 ** KEPT (pick-wt=9): 6 [] -convergent_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C).
% 1.96/2.15 ** KEPT (pick-wt=11): 7 [] -distinct_points(A,B)| -apart_point_and_line(C,line_connecting(A,B))|distinct_points(C,A).
% 1.96/2.15 ** KEPT (pick-wt=11): 8 [] -distinct_points(A,B)| -apart_point_and_line(C,line_connecting(A,B))|distinct_points(C,B).
% 1.96/2.15 ** KEPT (pick-wt=11): 9 [] -convergent_lines(A,B)| -apart_point_and_line(C,A)|distinct_points(C,intersection_point(A,B)).
% 7.37/7.59 ** KEPT (pick-wt=11): 10 [] -convergent_lines(A,B)| -apart_point_and_line(C,B)|distinct_points(C,intersection_point(A,B)).
% 7.37/7.59 ** KEPT (pick-wt=18): 11 [] -distinct_points(A,B)| -distinct_lines(C,D)|apart_point_and_line(A,C)|apart_point_and_line(A,D)|apart_point_and_line(B,C)|apart_point_and_line(B,D).
% 7.37/7.59 ** KEPT (pick-wt=9): 12 [] -apart_point_and_line(A,B)|distinct_points(A,C)|apart_point_and_line(C,B).
% 7.37/7.59 ** KEPT (pick-wt=9): 13 [] -apart_point_and_line(A,B)|distinct_lines(B,C)|apart_point_and_line(A,C).
% 7.37/7.59 ** KEPT (pick-wt=6): 14 [] -convergent_lines(A,B)|distinct_lines(A,B).
% 7.37/7.59 ** KEPT (pick-wt=3): 15 [] -distinct_points($c2,$c1).
% 7.37/7.59 ** KEPT (pick-wt=10): 16 [] -distinct_points($c3,$c1)|distinct_lines(line_connecting($c3,$c2),line_connecting($c3,$c1)).
% 7.37/7.59
% 7.37/7.59 ------------> process sos:
% 7.37/7.59 ** KEPT (pick-wt=3): 17 [] distinct_points($c3,$c2).
% 7.37/7.59
% 7.37/7.59 ======= end of input processing =======
% 7.37/7.59
% 7.37/7.59 =========== start of search ===========
% 7.37/7.59
% 7.37/7.59 -------- PROOF --------
% 7.37/7.59
% 7.37/7.59 ----> UNIT CONFLICT at 5.44 sec ----> 1549 [binary,1548.1,15.1] $F.
% 7.37/7.59
% 7.37/7.59 Length of proof is 18. Level of proof is 11.
% 7.37/7.59
% 7.37/7.59 ---------------- PROOF ----------------
% 7.37/7.59 % SZS status Theorem
% 7.37/7.59 % SZS output start Refutation
% See solution above
% 7.37/7.59 ------------ end of proof -------------
% 7.37/7.59
% 7.37/7.59
% 7.37/7.59 Search stopped by max_proofs option.
% 7.37/7.59
% 7.37/7.59
% 7.37/7.59 Search stopped by max_proofs option.
% 7.37/7.59
% 7.37/7.59 ============ end of search ============
% 7.37/7.59
% 7.37/7.59 -------------- statistics -------------
% 7.37/7.59 clauses given 78
% 7.37/7.59 clauses generated 18520
% 7.37/7.59 clauses kept 1548
% 7.37/7.59 clauses forward subsumed 16989
% 7.37/7.59 clauses back subsumed 234
% 7.37/7.59 Kbytes malloced 1953
% 7.37/7.59
% 7.37/7.59 ----------- times (seconds) -----------
% 7.37/7.59 user CPU time 5.44 (0 hr, 0 min, 5 sec)
% 7.37/7.59 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 7.37/7.59 wall-clock time 7 (0 hr, 0 min, 7 sec)
% 7.37/7.59
% 7.37/7.59 That finishes the proof of the theorem.
% 7.37/7.59
% 7.37/7.59 Process 11101 finished Wed Jul 27 07:23:46 2022
% 7.37/7.59 Otter interrupted
% 7.37/7.59 PROOF FOUND
%------------------------------------------------------------------------------